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New conditions for the additive inverse eigenvalue problem for matrices - MaRDI portal

New conditions for the additive inverse eigenvalue problem for matrices (Q1187799)

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scientific article; zbMATH DE number 39704
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New conditions for the additive inverse eigenvalue problem for matrices
scientific article; zbMATH DE number 39704

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    New conditions for the additive inverse eigenvalue problem for matrices (English)
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    13 August 1992
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    It is investigated when it is possible to add to the diagonal elements of a given symmetric matrix so that it gets a prescribed set of real numbers as eigenvalues. Bounds on how far an eigenvalue can be moved are given, and also on how close it is possible to get a pair of eigenvalues.
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    additive inverse eigenvalue problem
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    necessary conditions
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    sufficient conditions
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